Factoring Difference of Squares: Key Concepts and Techniques

What is a necessary condition for a binomial to be factored as the difference of two squares?

• There must be an addition sign between the terms

• Both terms must be perfect cubes

• The terms must be identical

• Both terms must be perfect squares

What does the expression a^2 - b^2 factor into?

• (a + b) + (a - b)

• (a + b)(a - b)

• (a - b) + (b - a)

• (a - b)(b - a)

In the expression x^2 - 49, what is the value of x when factored?

• x - 7

• x + 7

• 49

• 7

What is the square root of 49 in the context of factoring the expression x^2 - 49?

• 9.8

• 7

• 49

• 14

How is 9y^4 factored in the expression 9y^4 - 100?

• 3y^2 + 10

• 9y^2 - 10

• 3y^2 - 10

• 3y + 10

What is the square root of 100 in the context of factoring the expression 9y^4 - 100?

• 5

• 20

• 100

• 10

What is the result of factoring the expression 9y^4 - 100?

• (9y + 10)(9y - 10)

• (3y^2 + 10)(3y^2 - 10)

• (9y^2 + 10)(9y^2 - 10)

• (3y + 10)(3y - 10)

What does the term 'difference of two squares' refer to?

• A method of subtraction

• A method of division

• A method of multiplication

• A method of addition

Why is it important to recognize a difference of two squares in algebra?

• To simplify expressions

• To complicate expressions

• To solve equations faster

• Both A and C

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